Indexing metadata

Random walks with unbounded jumps among random conductances I: Uniform quenched CLT


 
Dublin Core PKP Metadata Items Metadata for this Document
 
1. Title Title of document Random walks with unbounded jumps among random conductances I: Uniform quenched CLT
 
2. Creator Author's name, affiliation, country Christophe Gallesco; University of Campinas - UNICAMP; Brazil
 
2. Creator Author's name, affiliation, country Serguei Popov; University of Campinas - UNICAMP; Brazil
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) ergodic environment; unbounded jumps; hitting probabilities; exit distribution
 
3. Subject Subject classification 60J10; 60K37
 
4. Description Abstract We study a one-dimensional random walk among random conductances, with unbounded jumps. Assuming the ergodicity of the collection of conductances and a few other technical conditions (uniform ellipticity and polynomial bounds on the tails of the jumps) we prove a quenched uniform invariance principle for the random walk. This means that the rescaled trajectory of length n is (in a certain sense) close enough to the Brownian motion, uniformly with respect to the choice of the starting location in an interval  of length $O(\sqrt{n})$ around the origin.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) FAPESP, CNPq
 
7. Date (YYYY-MM-DD) 2012-10-04
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/1826
 
10. Identifier Digital Object Identifier 10.1214/EJP.v17-1826
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 17
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
15. Rights Copyright and permissions The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available.

Summary of the Creative Commons Attribution License

You are free
  • to copy, distribute, display, and perform the work
  • to make derivative works
  • to make commercial use of the work
under the following condition of Attribution: others must attribute the work if displayed on the web or stored in any electronic archive by making a link back to the website of EJP via its Digital Object Identifier (DOI), or if published in other media by acknowledging prior publication in this Journal with a precise citation including the DOI. For any further reuse or distribution, the same terms apply. Any of these conditions can be waived by permission of the Corresponding Author.